After successful completion of the course, students are able to...
… to explain the sequence of a static FEM analysis
… to explain and evaluate the coincidence table and matrix, respectively
… to list and apply the equations of the linearized theory of elasticity
… to know and apply variational principles
… to explain and apply the Ritz method within the framework of the FEM
… to derive the element stiffness matrix, the load vector, and the element stresses
… to explain Static Condensation
… to describe and explain the types of discretization and their influence on the precision
… to explain and apply numerical integration
… to list and explain the different types of Finite Elements
… to explain, derive, and apply Isoparametric elements
… to explain, derive, and apply Hermit beam elements
… to explain and derive the treatment of Eigen frequencies and Eigen shapes as well as mass matrix and damping matrix
… to explain and derive explicit and implicit time integration methods
… to explain and derive the Mode-Superposition method
Principles of discretization methods. Matrix notation of the equations of the linear theory of elasticity. Variational methods. Special form of Ritz/Galerkin methods. Derivation of element stiffness matrices and load vectors, assembling of the complete system. Description of typical finite elements (continuum as well as structural elements). Numerical integration. Solution strategies for static and dynamic problems.
Lecture with power point presentation, derivation of equations, explaining sketches and figures; discussion of case studies
This course will be delivered in German language!
Lecture Notes (in German language) can be downloaded by students, who have been subscibed this course in TISS, by registering in group SK.
Start: Thuesday, 08.10. 2019, 12.15 - 14.30, FH HS 5, Freihausgebäude, Wiedner Hauptstraße 8, Turm A, gründer Bereich, 2. OG (Raum Nr. DA02G15). Last unit, 17.12.2019
The accompanying practise will be held in the last third of the semester at the same time and in the same lecture room (1.7.2020-28.1.2020).
The exam is in written format and at least half of the obtainable points are required to pass.
ALL EXAMS ARE IN GERMAN LANGUAGE ONLY!
K.-J. Bathe: Finite Elemente Methoden, Springer Verlag, 1986;
Zienkiewicz, Taylor: The Finite Element Method, Fourth Edition, Mc Graw Hill, 1989; T.J.R.
Hughes: The Finite Element Method, Prentice Hall, 1987
